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Finding the Third Proportional to 822,260.25 and 1,265,483.25

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Solution

The third proportional to 822,260.25 and 1,265,483.25 is: 1,947,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,260.25 : 1,265,483.25 = 1,265,483.25 : x
  2. Step 2: Convert to fraction form
    822,260.25/1,265,483.25 = 1,265,483.25/x
  3. Step 3: Cross multiply
    822,260.25x = 1,265,483.25 × 1,265,483.25
  4. Step 4: Simplify right side
    822,260.25x = 1,601,447,856,030.56
  5. Step 5: Solve for x
    x = 1,601,447,856,030.56/822,260.25
  6. Step 6: Final answer
    x = 1,947,616.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.